Manifolds, Analysis, and Applications
This will be an in-person class. The purpose of this class is to introduce fundamental concepts of differential geometry and its application to other fields, so that people in physics, biology, applied math, or machine learning (where differential geometry is applied) can have a rigorous introduction to the subject. The main topics will include manifolds, vector bundles, connections, curvature, introduction to geometric flows, and applications. This will be supplemented by learning fundamental tools of geometric analysis. Anyone is welcome even though it is designed for math advanced (senior) undergrads and early (freshman) grad students
讲师
Puskar Mondal
日期
2026年03月05日 至 06月04日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周二,周四 | 14:20 - 16:05 | A7-101 | Zoom 15 | 204 323 0165 | BIMSA |
修课要求
basic topology, real analysis
课程大纲
To be updated.
参考资料
Differential Geometry by Cliff. Taubes
Manifolds and Differential Geometry by J.M Lee
Lecture notes on Differential Geometry, R. Schoen, S-T Yau (this is mostly for the more advanced geometric analysis part)
We will not follow any particular textbook (otherwise, there's no point in teaching)
Manifolds and Differential Geometry by J.M Lee
Lecture notes on Differential Geometry, R. Schoen, S-T Yau (this is mostly for the more advanced geometric analysis part)
We will not follow any particular textbook (otherwise, there's no point in teaching)
听众
Advanced Undergraduate
, Graduate
视频公开
不公开
笔记公开
公开
语言
英文
讲师介绍
Puskar Mondal is currently a postdoctoral fellow at CMSA (dept. of Mathematics) and a lecturer at the Math department at Harvard University. His mentor is Prof. Shing-Tung Yau. Before this, he was a Ph.D. student at Yale university where he worked on Mathematical General Relativity under the supervision of Prof. Vincent Moncrief.